Results 11 to 20 of about 2,833 (262)
PRIMES AND PRIME IDEALS IN SHORT INTERVALS [PDF]
Mathematika, 2017 minor change to Proposition ...
GRENIE, L. +2 more
openaire +5 more sources
On quasi-prime differential semiring ideals
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commutative rings, i.e. commutative rings considered together with a derivation, as differential ideals maximal among those not meeting some multiplicatively ...
І. О. Мельник
doaj +1 more source
Journal of Algebra and Its Applications, 2020 The main focus of this paper is on the problem of relating an ideal [Formula: see text] in the polynomial ring [Formula: see text] to a corresponding ideal in [Formula: see text] where [Formula: see text] is a prime number; in other words, the reduction modulo[Formula: see text] of [Formula: see text].
John Abbott +2 more
openaire +2 more sources
On differentially prime ideals of Noetherian semirings
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022 The paper is devoted to the investigation of the notion of a differentially prime ideal of a differential commutative semiring (i. e. a semiring equipped with a derivation), and its interrelation with the notions of a quasi-prime ideal and a primary ...
І. О. Мельник
doaj +1 more source
On weakly S-prime ideals of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let R be a commutative ring with identity and S be a multiplicative subset of R. In this paper, we introduce the concept of weakly S-prime ideals which is a generalization of weakly prime ideals. Let P be an ideal of R disjoint with S. We say that P is a
Almahdi Fuad Ali Ahmed +2 more
doaj +1 more source
Rocky Mountain Journal of Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malcolmson, P., Okoh, F.
openaire +2 more sources
Radicals of Generalized Prime Ideals in Ternary Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the concepts of f-prime ideals and f-semiprime ideals on a ternary semigroup are considered as a generalization of pseudo prime ideals and pseudo semiprime ideals, respectively.
Satvong Narakon +2 more
doaj +1 more source
On Prime E-ideals of Almost Distributive Lattices
International Journal of Analysis and Applications, 2023 In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL.
N. Rafi +3 more
doaj +1 more source
On certain generalized prime ideals in boolean like semiring of fractions [PDF]
Journal of Hyperstructures, 2014 In this paper, we introduce the notions of semiprime ideals, 2-potent prime ideals, weakly prime ideals and weakly primary ideals in a Boolean like semiring of fractions. Further, we obtain various results concerning the notions.
K. H. Demissie +2 more
doaj +1 more source
On Neutrosophic Soft Prime Ideal [PDF]
Neutrosophic Sets and Systems, 2018 The motivation of the present paper is to extend the concept of neutrosophic soft prime ideal over a ring. In this paper the concept of neutrosophic soft completely prime ideals, neutrosophic soft completely semi-prime ideals and neutrosophic soft prime ...
Tuhin Bera, Nirmal Kumar Mahapatra
doaj +1 more source